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Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of...

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65miles per​ hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 56 miles per hour and 74 miles per hour. (Assume the data set has a​ bell-shaped distribution.)

math   Statistics-And-Probability   
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Answer #1

X : Speed of the vehicle

P(56 < X < 74)

= P((56-65)/3 < Z < (74-65)/3)

= P ( -3 < Z < 3)

=0.9973

99.73% of vehicles have speed between 56 miles per hour and 74 miles per hour.

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Answer #2

p(64<x<72)

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